Final answer:
The coordinates of the midpoint of the line segment with endpoints (6, -7) and (-4, 2) are (1, -2.5).
Step-by-step explanation:
The coordinates of the midpoint of a line segment can be found by taking the average of the x-coordinates and the average of the y-coordinates of the two endpoints. In this case, the endpoints are (6, -7) and (-4, 2).
The x-coordinate of the midpoint is (6 + (-4)) / 2 = 2 / 2 = 1.
The y-coordinate of the midpoint is (-7 + 2) / 2 = -5 / 2 = -2.5.
Therefore, the coordinates of the midpoint are (1, -2.5).